Formula library

Income Elasticity of Demand

Income Elasticity of Demand
\[E_y=\frac{\frac{Q_2-Q_1}{Q_1}}{\frac{I_2-I_1}{I_1}}\]

Variables

Eyincome elasticity of demand
Q1initial quantity demanded
Q2final quantity demanded
I1initial income
I2final income

Description

What is this formula?


Income Elasticity of Demand measures how responsive the quantity demanded of a good is to changes in consumer income.


It quantifies the percentage change in quantity demanded resulting from a one percent change in income.


When to use it


Use this formula when classifying goods as normal, inferior, luxury, or necessity goods and when forecasting demand under changing economic conditions.


Example


Initial income:


I1 = 40,000 USD


Final income:


I2 = 44,000 USD


Initial quantity demanded:


Q1 = 100 units


Final quantity demanded:


Q2 = 115 units


Formula:


Ey = ((Q2−Q1)/Q1)/((I2−I1)/I1)


Substitution:


Ey = ((115−100)/100)/((44000−40000)/40000)


Ey = 0.15/0.10


Ey = 1.5


Result:


Demand is income elastic. A 1% increase in income generates approximately a 1.5% increase in quantity demanded.


Applications


- Demand forecasting

- Market segmentation

- Economic development studies

- Consumer behavior analysis

- Product strategy


Note


This formula uses percentage changes relative to initial values. Income elasticity can vary significantly across income levels and regions. Luxury goods typically have elasticity greater than 1, while necessities often have elasticity between 0 and 1.

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